HOPF BIFURCATION OF A NEURAL NETWORK MODEL WITH TIME DELAY
Shen Qi-hong · Chinese Annals of Mathematics,series A · 2003
This paper investigates the property of dynamics property of a neural network model with thime delay formed by two neurons. That is, the authors discuss the stability of the equilibrium point and the existence of the local Hopf bifurcation by the D-division method of the exponential polynomial. Also the authors exhibit calculating formulas about the property of bifurcation with the normal form and the center manifold theory, and study the global existence of the periodic solutions by degree theory.